An Application of the Stiefel–Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
Bulletin Polish Acad. Sci. Math. 53 (2005), 181-186 MSC: 55M20, 55R25, 54C60. DOI: 10.4064/ba53-2-7
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel–Whitney classes.